Subtracting Algebraic Fractions With Unlike Denominators


Subtracting Algebraic Fractions With Unlike Denominators. This is a moderately easy exercise. For example, suppose you want to add:

Subtracting Fractions with Unlike Denominators
Subtracting Fractions with Unlike Denominators from www.algebra-class.com

To do this, we multiply the denominator of the fraction with the whole number part, and add that product to the numerator. So, we need to find fractions equivalent to 6 7 and 2 3 which have 21 in the denominator. As we have done previously, we will do one example of adding numerical fractions first.

Find The Lcd Of 2 2, 3 3.


Make the denominator of both the fractions the same. Multiply the numerator and denominator by the factor, which will help attain the same denominator for the given fractions. Identify the least common denominator by finding the least common multiple for the denominators.

To Add Three Fractions With Different Denominators We Apply The Same Rule To Add Two Fractions With Different Denominators, We First Find The Lcm Of 3, 4 And 5.


Write the result in simplified form. This step is exactly the same as finding the least common denominator (lcd). Use the equivalent fractions property to multiply the numerator and denominator by the number from step 2.

Add Or Subtract The Numerators.


For 5 and 3, there is no common divisor other than 1. For each fraction, determine the number needed to multiply the denominator to get the lcd. Keep this least common multiple as the denominator of the answer.

Subtraction Is Defined In Terms Of Addition, So The Method Of Subtracting Algebraic Fractions Will Be The Same As Adding Algebraic Fractions Discussed In The Preceding Section.


Write equivalent fractions (making sure that each equivalent fraction contains the least common denominator (lcm)) 3. So, we need to find fractions equivalent to 6 7 and 2 3 which have 21 in the denominator. In the above two fractions, denominators are 5 and 3.

Simplify The Numerator And Denominator.


To add or subtract fractions with unlike denominators: If you conquered adding fractions with different denominators, then subtracting fractions will be a snap. 8 + 1 = 9.